Skip to main content

Theory and Modern Applications

Nonoscillatory half-linear difference equations and recessive solutions

Abstract

Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the "smallest solutions in a neighborhood of infinity," like in the linear case. Other asymptotic properties of recessive and dominant solutions are treated too.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mariella Cecchi.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Cecchi, M., Došlá, Z. & Marini, M. Nonoscillatory half-linear difference equations and recessive solutions. Adv Differ Equ 2005, 676580 (2005). https://doi.org/10.1155/ADE.2005.193

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1155/ADE.2005.193